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Finding the Fourth Proportional to 316,517.64, 474,439.74 and 216,649.80

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Solution

The fourth proportional to 316,517.64, 474,439.74 and 216,649.80 is: 324,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,517.64 : 474,439.74 = 216,649.80 : x
  2. Step 2: Convert to fraction form
    316,517.64/474,439.74 = 216,649.80/x
  3. Step 3: Cross multiply
    316,517.64x = 474,439.74 × 216,649.80
  4. Step 4: Simplify right side
    316,517.64x = 102,787,274,783.05
  5. Step 5: Solve for x
    x = 102,787,274,783.05/316,517.64
  6. Step 6: Final answer
    x = 324,744.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.